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Class 10 Exam  >  Class 10 Questions  >  The Index of Coincidence for English language... Start Learning for Free
The Index of Coincidence for English language is approximately
  • a)
    0.068
  • b)
    0.038
  • c)
    0.065
  • d)
    0.048
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The Index of Coincidence for English language is approximatelya)0.068b...
Yes actually you said option C is correct it is actually correct but the actual answer is different

actual answer for index of coincide of English language is 0.0 667

index of coincide is a technique to find the probability of the repeating letters in an encrypted text

the index of coincide value is calculated on the basis of the probability of occurrence of a specified letter and the probability of comparing it to the same letter from the second text





so this is my answer for index of coincide of English language is 0.0667 but you have given that C is correct option
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The Index of Coincidence for English language is approximatelya)0.068b...
Index of Coincidence for English Language

The index of coincidence is a measure of how closely a frequency distribution of letters in a language matches the distribution of letters in a typical sample of that language. It is used in cryptography to analyze the frequency of letters in a message and determine the likelihood of a specific encryption method being used.

Calculation

To calculate the index of coincidence, you need to count the frequency of each letter in the message and then calculate the sum of squares of each frequency. Then, you divide the sum of squares by the total number of letters in the message, and finally, you multiply the result by the reciprocal of the message length minus one.

Formula

IC = Σ(fi(fi-1)) / N(N-1)

where,
IC = Index of Coincidence
fi = frequency of the i-th letter
N = total number of letters in the message

English Language

The index of coincidence for the English language is approximately 0.065. This means that the frequency distribution of letters in the English language is fairly uniform, with no significant deviations from the average frequency of letters.

Explanation

The English language has a relatively high index of coincidence compared to other languages because it has a large alphabet and a well-distributed frequency of letters. This makes it difficult for cryptographers to break codes and ciphers using simple frequency analysis.

Conclusion

In conclusion, the index of coincidence is an important tool for analyzing the frequency distribution of letters in a language and determining the likelihood of a specific encryption method being used. The index of coincidence for the English language is approximately 0.065, which indicates a fairly uniform frequency distribution.
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Read the given extract and answer the questions that follows:A second test for Indian federation is the language policy. Our Constitution did not give the status of national language to any one language. Hindi was identified as the official language. But Hindi is the mother tongue of only about 40 percent of Indians. Therefore, there were many safeguards to protect other languages. Besides Hindi, there are 21 other languages recognised as Scheduled Languages by the Constitution. A candidate in an examination conducted for the Central Government positions may opt to take the examination in any of these languages. States too have their own official languages. Much of the government work takes place in the official language of the concerned State. Unlike Sri Lanka, the leaders of our country adopted a very cautious attitude in spreading the use of Hindi. According to the Constitution, the use of English for official purposes was stopped in 1965. However, many non- Hindi speaking States demanded that the use of English should continue. In Tamil Nadu, this movement took a violent form. The Central Government responded by agreeing to continue the use of English along with Hindi for official purposes. Many critics think that this solution favoured the English-speaking elites. Promotion of Hindi continues to be the official policy of the Government of India. Promotion does not mean that the Central Government can impose Hindi on States where people speak a different language. The flexibility shown by Indian political leaders helped our country avoid the kind of situation that Sri Lanka finds itself in.Q. A candidate in an examination conducted for the central government positions has to opt for which language?

Read the given extract and answer the questions that follows:A second test for Indian federation is the language policy. Our Constitution did not give the status of national language to any one language. Hindi was identified as the official language. But Hindi is the mother tongue of only about 40 percent of Indians. Therefore, there were many safeguards to protect other languages. Besides Hindi, there are 21 other languages recognised as Scheduled Languages by the Constitution. A candidate in an examination conducted for the Central Government positions may opt to take the examination in any of these languages. States too have their own official languages. Much of the government work takes place in the official language of the concerned State. Unlike Sri Lanka, the leaders of our country adopted a very cautious attitude in spreading the use of Hindi. According to the Constitution, the use of English for official purposes was stopped in 1965. However, many non- Hindi speaking States demanded that the use of English should continue. In Tamil Nadu, this movement took a violent form. The Central Government responded by agreeing to continue the use of English along with Hindi for official purposes. Many critics think that this solution favoured the English-speaking elites. Promotion of Hindi continues to be the official policy of the Government of India. Promotion does not mean that the Central Government can impose Hindi on States where people speak a different language. The flexibility shown by Indian political leaders helped our country avoid the kind of situation that Sri Lanka finds itself in.Q. How many languages are included in the Eighth Schedule of the Indian Constitution?

Read the given extract and answer the questions that follows:A second test for Indian federation is the language policy. Our Constitution did not give the status of national language to any one language. Hindi was identified as the official language. But Hindi is the mother tongue of only about 40 percent of Indians. Therefore, there were many safeguards to protect other languages. Besides Hindi, there are 21 other languages recognised as Scheduled Languages by the Constitution. A candidate in an examination conducted for the Central Government positions may opt to take the examination in any of these languages. States too have their own official languages. Much of the government work takes place in the official language of the concerned State. Unlike Sri Lanka, the leaders of our country adopted a very cautious attitude in spreading the use of Hindi. According to the Constitution, the use of English for official purposes was stopped in 1965. However, many non- Hindi speaking States demanded that the use of English should continue. In Tamil Nadu, this movement took a violent form. The Central Government responded by agreeing to continue the use of English along with Hindi for official purposes. Many critics think that this solution favoured the English-speaking elites. Promotion of Hindi continues to be the official policy of the Government of India. Promotion does not mean that the Central Government can impose Hindi on States where people speak a different language. The flexibility shown by Indian political leaders helped our country avoid the kind of situation that Sri Lanka finds itself in.Q. Which non- Hindi speaking State demanded that the use of English should continue after 1965?

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The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer?
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